Solution 3.8.3.4
Let
Z
1
= R
1
k C
1
=
R
1
C
1
s
R
1
+
1
C
1
s
=
R
1
R
1
C
1
s +1
;;
and
Z
2
=
1
C
2
s
:
Then
Z
2
Z
1
=
1
C
2
s
R
1
R
1
C
1
s +1
(R
1
C
1
s +1)(C
2
s)
(R
1
C
1
s +1)(C
2
s)
=
(R
1
C
1
s +1)
R
1
C
2
=
(C
1
=overC
2
)[s+(1=R
1
C
1
)]
s
:
We next havetochoose some values. We knowthat
C
1
C
2
= 10
1
R
1
C
1
= 5
Let
R
1
= 200 k
C
1
= 1:0 f
C
2
= 0:1 f:
1